Teorema de existencia y representación integral del producto tensorial de medidas vectoriales
Teorema de Ramsey aplicado a álgebras de Boole.
Some properties of Boolean algebras are characterized through the topological properties of a certain space of countable sequences of ordinals. For this, it is necessary to prove the Ramsey theorems for an arbitrary infinite cardinal. Also, we define continuous mappings on these spaces from vector measures on the algebra.
The absolute continuity of functions defined on the -ring generated by a ring
The ap-Denjoy and ap-Henstock integrals
In this paper we define the ap-Denjoy integral and show that the ap-Denjoy integral is equivalent to the ap-Henstock integral and the integrals are equal.
The Bochner and the monotone integrals with respect to a nuclear-valued finitely additive measure
The Brooks-Jewett theorem for -triangular functions on difference posets and orthoalgebras
The Denjoy extension of the Bochner, Pettis, and Dunford integrals
The Denjoy extension of the Riemann and McShane integrals
In this paper we study the Denjoy-Riemann and Denjoy-McShane integrals of functions mapping an interval into a Banach space It is shown that a Denjoy-Bochner integrable function on is Denjoy-Riemann integrable on , that a Denjoy-Riemann integrable function on is Denjoy-McShane integrable on and that a Denjoy-McShane integrable function on is Denjoy-Pettis integrable on In addition, it is shown that for spaces that do not contain a copy of , a measurable Denjoy-McShane integrable...
The Fubini Theorem and Convolution of Vector-Valued Measures
The general Fubini theorem in complete bornological locally convex spaces.
The Henstock-Kurzweil-Pettis integrals and existence theorems for the Cauchy problem
In this paper we prove an existence theorem for the Cauchy problem using the Henstock-Kurzweil-Pettis integral and its properties. The requirements on the function are not too restrictive: scalar measurability and weak sequential continuity with respect to the second variable. Moreover, we suppose that the function satisfies some conditions expressed in terms of measures of weak noncompactness.
The Kluvanek-Kantorovitz characterization of scalar operators in locally convex spaces.
The Laplace transform of exponentially bounded vector-valued functions (real conditions)
The McShane, PU and Henstock integrals of Banach valued functions
Some relationships between the vector valued Henstock and McShane integrals are investigated. An integral for vector valued functions, defined by means of partitions of the unity (the PU-integral) is studied. In particular it is shown that a vector valued function is McShane integrable if and only if it is both Pettis and PU-integrable. Convergence theorems for the Henstock variational and the PU integrals are stated. The families of multipliers for the Henstock and the Henstock variational integrals...
The monotone convergence theorem for multidimensional abstract Kurzweil vector integrals
We prove two versions of the Monotone Convergence Theorem for the vector integral of Kurzweil, , where is a compact interval of , and are functions with values on and respectively, and and are monotone ordered normed spaces. Analogous results can be obtained for the Kurzweil vector integral, , as well as to unbounded intervals .
The multiplier for the weak McShane integral
The multiplier for the weak McShane integral which has been introduced by M. Saadoune and R. Sayyad (2014) is characterized.
The Nikodym theorems for operator measures.
The Radon-Nikodym property and convergence of amarts in Frechet spaces
The range of vector measures into Orlicz spaces
The reciprocal Dunford–Pettis property of order in projective tensor products
We investigate whether the projective tensor product of two Banach spaces and has the reciprocal Dunford–Pettis property of order , , when and have the respective property.